2LUCKY, I have had several three way refrigerators in Class Bs over the years. Bs are notorious for being difficult to cool the refrig on hot days and that is because the small nature of the B just dictates a different set of problems as opposed to a C. That being said, I never had a problem with my three ways. My experience and that of most folks I know is that the 12v option only is of some value when you are going down the road and your batteries are being pumped by your alternator. Otherwise, as Don said, the batteries will rapidly decline, even over a long lunch.
Gas is very efficient in these refrigs and electric is useable. I fired up a few hours ago today in direct sunlight on the refrig side of the rig and the freezer is now down to 11 F and going lower. I am on gas. Soon, I will plug into the AC and finish the job. It is bright sun and 84 outside right now.
So, yes three ways have some advantages but boy the DC is really of minimal value in my experiences. B problems almost dictate the installation of a small 12v fan or two appropriately located to create an air current over the coils. It is a good idea in my view with all RV gas refrigerators.
Finally, if you try the fans and they don't seem to help, check your door seals on the refrig.
We mostly boondock and so are very stingy with our batteries.
CALCRUISER's link to door seals is very important. Personally, I use silicon spray on my seals as opposed to petro jelly. I just spray them, let them sit an hour or two and then wipe off any excess.
Finally, if all else fails google or search RV forums for burping a rv refrig. My first motorhome was in 1983 and I bought an old half worn out C and had to have it burped. I had no idea about burping or anything else about a rv but we had a blast and some tears learning over time.
Who else do you know that broke down on top of the Mesa Verde (National Park) and spent their fifth wedding anniversary in a junk yard in a small town on the Western Slope because no one else in the town would work on my rig?? Still married to the same gal.
Paul